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Simplifying 3m + n = 2m + -1n Solving 3m + n = 2m + -1n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 3m + -2m + n = 2m + -2m + -1n Combine like terms: 3m + -2m = 1m 1m + n = 2m + -2m + -1n Combine like terms: 2m + -2m = 0 1m + n = 0 + -1n 1m + n = -1n Add '-1n' to each side of the equation. 1m + n + -1n = -1n + -1n Combine like terms: n + -1n = 0 1m + 0 = -1n + -1n 1m = -1n + -1n Combine like terms: -1n + -1n = -2n 1m = -2n Divide each side by '1'. m = -2n Simplifying m = -2n
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